TSTP Solution File: CAT034+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : CAT034+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:59:02 EDT 2022
% Result : Theorem 9.98s 3.93s
% Output : CNFRefutation 9.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 49 ( 10 unt; 0 nHn; 49 RR)
% Number of literals : 182 ( 5 equ; 144 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-5 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_176,plain,
( epred2_3(X1,X2,X3)
| X2 != k12_nattra_1(X3,X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_176) ).
cnf(i_0_742,plain,
( l1_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_742) ).
cnf(i_0_743,plain,
( v2_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_743) ).
cnf(i_0_744,plain,
( v1_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_744) ).
cnf(i_0_3885,plain,
( u2_cat_1(X1) = k11_nattra_1(X2,X3)
| ~ epred2_3(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_3885) ).
cnf(i_0_2923,negated_conjecture,
~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0))),k3_yoneda_1(esk503_0,esk504_0)),u2_cat_1(k12_nattra_1(esk503_0,k1_yoneda_1(esk503_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_2923) ).
cnf(i_0_2926,negated_conjecture,
v2_cat_1(esk503_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_2926) ).
cnf(i_0_2925,negated_conjecture,
l1_cat_1(esk503_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_2925) ).
cnf(i_0_1916,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_1916) ).
cnf(i_0_2462,plain,
( r2_hidden(k4_tarski(k4_tarski(X1,X2),X3),k11_nattra_1(X4,X5))
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X2,X4,X5)
| ~ m2_cat_1(X1,X4,X5)
| ~ r2_nattra_1(X4,X5,X1,X2)
| ~ m2_nattra_1(X3,X4,X5,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_2462) ).
cnf(i_0_810,plain,
( m2_nattra_1(k3_yoneda_1(X1,X2),X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_810) ).
cnf(i_0_2924,negated_conjecture,
m1_subset_1(esk504_0,u2_cat_1(esk503_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_2924) ).
cnf(i_0_2600,plain,
( r2_nattra_1(X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_2600) ).
cnf(i_0_798,plain,
( m2_cat_1(k2_yoneda_1(X1,X2),X1,k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_798) ).
cnf(i_0_788,plain,
( m1_subset_1(k2_cat_1(X1,X2),u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_788) ).
cnf(i_0_799,plain,
( m1_subset_1(k3_cat_1(X1,X2),u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_799) ).
cnf(i_0_772,plain,
( v2_cat_1(k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_772) ).
cnf(i_0_771,plain,
( l1_cat_1(k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-orzq2wbh/lgb.p',i_0_771) ).
cnf(c_0_3904,plain,
( epred2_3(X1,X2,X3)
| X2 != k12_nattra_1(X3,X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
i_0_176 ).
cnf(c_0_3905,plain,
( l1_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
i_0_742 ).
cnf(c_0_3906,plain,
( v2_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
i_0_743 ).
cnf(c_0_3907,plain,
( v1_cat_1(k12_nattra_1(X1,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
i_0_744 ).
cnf(c_0_3908,plain,
( u2_cat_1(X1) = k11_nattra_1(X2,X3)
| ~ epred2_3(X3,X1,X2) ),
i_0_3885 ).
cnf(c_0_3909,plain,
( epred2_3(X1,k12_nattra_1(X2,X1),X2)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3904]),c_0_3905]),c_0_3906]),c_0_3907]) ).
cnf(c_0_3910,negated_conjecture,
~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0))),k3_yoneda_1(esk503_0,esk504_0)),u2_cat_1(k12_nattra_1(esk503_0,k1_yoneda_1(esk503_0)))),
i_0_2923 ).
cnf(c_0_3911,plain,
( u2_cat_1(k12_nattra_1(X1,X2)) = k11_nattra_1(X1,X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2) ),
inference(spm,[status(thm)],[c_0_3908,c_0_3909]) ).
cnf(c_0_3912,negated_conjecture,
v2_cat_1(esk503_0),
i_0_2926 ).
cnf(c_0_3913,negated_conjecture,
l1_cat_1(esk503_0),
i_0_2925 ).
cnf(c_0_3914,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_1916 ).
cnf(c_0_3915,plain,
( r2_hidden(k4_tarski(k4_tarski(X1,X2),X3),k11_nattra_1(X4,X5))
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X2,X4,X5)
| ~ m2_cat_1(X1,X4,X5)
| ~ r2_nattra_1(X4,X5,X1,X2)
| ~ m2_nattra_1(X3,X4,X5,X1,X2) ),
i_0_2462 ).
cnf(c_0_3916,negated_conjecture,
( ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0))
| ~ m1_subset_1(k4_tarski(k4_tarski(k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0))),k3_yoneda_1(esk503_0,esk504_0)),k11_nattra_1(esk503_0,k1_yoneda_1(esk503_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3910,c_0_3911]),c_0_3912]),c_0_3913])]) ).
cnf(c_0_3917,plain,
( m1_subset_1(k4_tarski(k4_tarski(X1,X2),X3),k11_nattra_1(X4,X5))
| ~ m2_nattra_1(X3,X4,X5,X1,X2)
| ~ r2_nattra_1(X4,X5,X1,X2)
| ~ m2_cat_1(X2,X4,X5)
| ~ m2_cat_1(X1,X4,X5)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X4) ),
inference(spm,[status(thm)],[c_0_3914,c_0_3915]) ).
cnf(c_0_3918,negated_conjecture,
( ~ m2_nattra_1(k3_yoneda_1(esk503_0,esk504_0),esk503_0,k1_yoneda_1(esk503_0),k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0)))
| ~ r2_nattra_1(esk503_0,k1_yoneda_1(esk503_0),k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0)))
| ~ m2_cat_1(k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0)),esk503_0,k1_yoneda_1(esk503_0))
| ~ m2_cat_1(k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),esk503_0,k1_yoneda_1(esk503_0))
| ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3916,c_0_3917]),c_0_3912]),c_0_3913])]) ).
cnf(c_0_3919,plain,
( m2_nattra_1(k3_yoneda_1(X1,X2),X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
i_0_810 ).
cnf(c_0_3920,negated_conjecture,
m1_subset_1(esk504_0,u2_cat_1(esk503_0)),
i_0_2924 ).
cnf(c_0_3921,plain,
( ~ r2_nattra_1(esk503_0,k1_yoneda_1(esk503_0),k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0)))
| ~ m2_cat_1(k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0)),esk503_0,k1_yoneda_1(esk503_0))
| ~ m2_cat_1(k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),esk503_0,k1_yoneda_1(esk503_0))
| ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3918,c_0_3919]),c_0_3912]),c_0_3913]),c_0_3920])]) ).
cnf(c_0_3922,plain,
( r2_nattra_1(X1,k1_yoneda_1(X1),k2_yoneda_1(X1,k3_cat_1(X1,X2)),k2_yoneda_1(X1,k2_cat_1(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
i_0_2600 ).
cnf(c_0_3923,plain,
( ~ m2_cat_1(k2_yoneda_1(esk503_0,k2_cat_1(esk503_0,esk504_0)),esk503_0,k1_yoneda_1(esk503_0))
| ~ m2_cat_1(k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),esk503_0,k1_yoneda_1(esk503_0))
| ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3921,c_0_3922]),c_0_3912]),c_0_3913]),c_0_3920])]) ).
cnf(c_0_3924,plain,
( m2_cat_1(k2_yoneda_1(X1,X2),X1,k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m1_subset_1(X2,u1_cat_1(X1)) ),
i_0_798 ).
cnf(c_0_3925,plain,
( ~ m2_cat_1(k2_yoneda_1(esk503_0,k3_cat_1(esk503_0,esk504_0)),esk503_0,k1_yoneda_1(esk503_0))
| ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0))
| ~ m1_subset_1(k2_cat_1(esk503_0,esk504_0),u1_cat_1(esk503_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3923,c_0_3924]),c_0_3912]),c_0_3913])]) ).
cnf(c_0_3926,plain,
( ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0))
| ~ m1_subset_1(k2_cat_1(esk503_0,esk504_0),u1_cat_1(esk503_0))
| ~ m1_subset_1(k3_cat_1(esk503_0,esk504_0),u1_cat_1(esk503_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3925,c_0_3924]),c_0_3912]),c_0_3913])]) ).
cnf(c_0_3927,plain,
( m1_subset_1(k2_cat_1(X1,X2),u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
i_0_788 ).
cnf(c_0_3928,plain,
( ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0))
| ~ m1_subset_1(k3_cat_1(esk503_0,esk504_0),u1_cat_1(esk503_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3926,c_0_3927]),c_0_3913]),c_0_3920])]) ).
cnf(c_0_3929,plain,
( m1_subset_1(k3_cat_1(X1,X2),u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ m1_subset_1(X2,u2_cat_1(X1)) ),
i_0_799 ).
cnf(c_0_3930,plain,
( ~ v2_cat_1(k1_yoneda_1(esk503_0))
| ~ l1_cat_1(k1_yoneda_1(esk503_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3928,c_0_3929]),c_0_3913]),c_0_3920])]) ).
cnf(c_0_3931,plain,
( v2_cat_1(k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
i_0_772 ).
cnf(c_0_3932,plain,
~ l1_cat_1(k1_yoneda_1(esk503_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3930,c_0_3931]),c_0_3912]),c_0_3913])]) ).
cnf(c_0_3933,plain,
( l1_cat_1(k1_yoneda_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
i_0_771 ).
cnf(c_0_3934,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3932,c_0_3933]),c_0_3912]),c_0_3913])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT034+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 21:45:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.39/0.61 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.39/0.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.39/0.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.98/3.93 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.98/3.93 # No SInE strategy applied
% 9.98/3.93 # Trying AutoSched0 for 150 seconds
% 9.98/3.93 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.98/3.93 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.98/3.93 #
% 9.98/3.93 # Preprocessing time : 0.014 s
% 9.98/3.93 # Presaturation interreduction done
% 9.98/3.93
% 9.98/3.93 # Proof found!
% 9.98/3.93 # SZS status Theorem
% 9.98/3.93 # SZS output start CNFRefutation
% See solution above
% 9.98/3.93 # Training examples: 0 positive, 0 negative
% 9.98/3.93
% 9.98/3.93 # -------------------------------------------------
% 9.98/3.93 # User time : 0.028 s
% 9.98/3.93 # System time : 0.005 s
% 9.98/3.93 # Total time : 0.033 s
% 9.98/3.93 # Maximum resident set size: 7128 pages
% 9.98/3.93
%------------------------------------------------------------------------------